Free Printable Foundations of Algebra Final Exam Review

1.

Choose the best answer.

Classify: $\sqrt{20}$

a)

Rational

b)

Irrational

c)

Whole

d)

Integer

e)

Natural

2.

Choose the best answer.

Classify: $\sqrt{40}$

a)

Rational

b)

Irrational

c)

Whole

d)

Integer

e)

Natural

3.

Choose ALL the best answers.

Classify: 20

a)

Rational

b)

Irrational

c)

Whole

d)

Integer

e)

Natural

4.

Choose ALL the best answers.

Classify: $0.\overline{26}$

a)

Rational

b)

Irrational

c)

Whole

d)

Integer

e)

Natural

5.

Choose ALL the best answers.

Classify: $0.\overline{34}$

a)

Rational

b)

Irrational

c)

Whole

d)

Integer

e)

Natural

6.

Which of the following is an example of a Natural Number?

a)

0

b)

40

c)

-7

d)

.4545

7.

$\frac{8}{5}-\frac{3}{10}$ Simplify

a)

$\frac{13}{10}$

b)

$1$

c)

$\frac{5}{10}$

d)

$\frac{5}{10}$

8.

$\frac{3}{4}-\frac{2}{5}$ Simplify

a)

$\frac{1}{4}$

b)

$1$

c)

$\frac{7}{20}$

d)

$\frac{5}{9}$

9.

$\frac{5}{4}\cdot\frac{2}{5}$ Simplify

a)

$\frac{1}{2}$

b)

$\frac{10}{4}$

c)

$\frac{7}{20}$

d)

$\frac{5}{9}$

10.

$\frac{3}{10}\cdot\frac{1}{2}$ Simplify

a)

$\frac{3}{12}$

b)

$\frac{3}{20}$

c)

$\frac{7}{20}$

d)

$\frac{5}{9}$

11.

$\frac{5}{9}\div\frac{1}{2}$ Simplify

a)

$\frac{10}{9}$

b)

$\frac{3}{20}$

c)

$\frac{5}{18}$

d)

$\frac{5}{9}$

12.

$\frac{1}{4}\div\frac{2}{3}$ Simplify

a)

$\frac{3}{8}$

b)

$\frac{2}{12}$

c)

$\frac{5}{18}$

d)

$\frac{5}{10}$

13.

$12-\left(3\right)+4$ Simplify

a)

10

b)

12

c)

13

d)

5

14.

$8-\left(-4\right)+10$ Simplify

a)

10

b)

14

c)

2

d)

22

15.

$8\div\left(-4\right)-3$ Simplify

a)

-5

b)

1

c)

2

d)

22

16.

Roberts phone payments are $14.95 per month for the next 2 years. What will be the total amount he will pay for his phone?

a)

$29.90

b)

$179.40

c)

$358.80

d)

$538.20

17.

Kelly's internet payments are $54.62 per month for the next 3 years. What will be the total amount she will pay for her internet?

a)

$1966.32

b)

$163.86

c)

$655.44

d)

$1310.88

18.

Bob's car payments are $201.40 per month for the next 4 years. What will be the total amount he will pay for his car?

a)

$805.60

b)

$4833.60

c)

$7250.40

d)

$9667.20

19.

Estimate the value of $\sqrt{5}$

a)

2.3

b)

2.2

c)

2.1

d)

3

20.

Estimate the value of $\sqrt{17}$

a)

17

b)

2.2

c)

4.1

d)

3

21.

what algebraic property is true for the statement 15 + 0 =15?

a)

Associative

b)

Commutative

c)

Identity

d)

Distributive

22.

what algebraic property is true for the statement 50 + 0 =50?

a)

Associative

b)

Commutative

c)

Identity

d)

Distributive

23.

what algebraic property is true for the statement 30 + 0 =30?

a)

Associative

b)

Commutative

c)

Identity

d)

Distributive

24.

what algebraic property is true for the statement $2\left(x\ -4\right)=2x-8$ ?

a)

Associative

b)

Commutative

c)

Identity

d)

Distributive

25.

what algebraic property is true for the statement $-4\left(x\ +2\right)=-4x-8$ ?

a)

Associative

b)

Commutative

c)

Identity

d)

Distributive

26.

what algebraic property is true for the statement $4+\left(2+x\right)=\left(4+2\right)+x$ ?

a)

Associative

b)

Commutative

c)

Identity

d)

Distributive

27.

what algebraic property is true for the statement $7+\left(1+x\right)=\left(7+1\right)+x$ ?

a)

Associative

b)

Commutative

c)

Identity

d)

Distributive

28.

what algebraic property is true for the statement $7+x=x+7$ ?

a)

Associative

b)

Commutative

c)

Identity

d)

Distributive

29.

what algebraic property is true for the statement $10+x=x+10$ ?

a)

Associative

b)

Commutative

c)

Identity

d)

Distributive

30.

Estimate the value of $\sqrt{12}$

a)

$2\sqrt{3}$

b)

$\sqrt{6}$

c)

$\sqrt{3}$

d)

$3\sqrt{2}$

31.

Simplify $4r^2\times5r^3$

a)

$20r^6$

b)

$20r^2$

c)

$9r^5$

d)

$20r^5\$

32.

Simplify $2x^5\times3x^3$

a)

$6x^8$

b)

$5x^5$

c)

$9x^4$

d)

$20x^5\$

33.

Simplify

\left(x^3y^4\right)^2

a)

$x^5y^6$

b)

$x^6y^8$

c)

$\left(x^1y^2\right)$

d)

$xy$

34.

Write an algebraic expression for the phrase: the product of 7 and a number.

a)

7 + x

b)

7x

c)

7/x

d)

7 - x

35.

Write an algebraic expression for the phrase: A number decreased by 50.

a)

50 + x

b)

50x

c)

50/x

d)

x - 50

36.

Write an algebraic expression for the phrase: Three more than twice a number.

a)

3 - 2x

b)

2x - 3

c)

3 / 2x

d)

2x + 3

37.

Calculate the perimeter of the figure.

a)

19cm

b)

38cm

c)

14cm

d)

84cm

38.

Calculate the perimeter of the figure.

a)

24yd

b)

27yd

c)

18yd

d)

6yd

39.

Calculate the area of the figure.

a)

19cm²

b)

38cm²

c)

14cm²

d)

84cm²

40.

Calculate the area of the figure.

a)

24yd²

b)

27yd²

c)

18yd²

d)

6yd²

41.

Simplify: 3 + 5x + 10 + 2x

a)

10x²+ 13

b)

7x + 13

c)

10x + 7

d)

20x

42.

Simplify: -2 + 4x + 8 + x

a)

5x + 6

b)

4x + 6

c)

5x + 10

d)

11x

43.

Evaluate when x = 7 and y = 6: $x-y\div6$

a)

2

b)

6

c)

3

d)

4

44.

Evaluate when x = 12 and y = 2: $x-y\div2$

a)

2

b)

1

c)

11

d)

4

45.

Write 0.26 as a percent.

a)

2.6%

b)

26%

c)

.26%

d)

.026%

46.

Write 1.74 as a percent.

a)

174%

b)

1.74%

c)

17.4%

d)

.0174%

47.

Write 13% as a decimal.

a)

0.013

b)

0.13

c)

1.3

d)

13

48.

Write 83% as a decimal.

a)

0.083

b)

0.83

c)

8.3

d)

83

49.

Simplify: 3 + 4x - 1 + 2x

a)

6x - 1

b)

6x + 2

c)

5x + 2

d)

8x

50.

Thirty six percent (36%) of what number is 43.2?

a)

102

b)

43

c)

120

d)

30

51.

Sixteen percent (16%) of what number is 16.32?

a)

102

b)

43

c)

120

d)

30

52.

What percent of 120 is 36?

a)

30%

b)

20%

c)

10%

d)

40%

53.

What percent of 90 is 18?

a)

30%

b)

20%

c)

10%

d)

40%

54.

Solve the proportion $\frac{4}{x}=\frac{6}{9}$

a)

36

b)

1.5

c)

10

d)

6

55.

Solve the proportion $\frac{x}{8}=\frac{3}{4}$

a)

3

b)

1.5

c)

12

d)

6

56.

Find the slope that passes through (-6,2) and (-4, 12)

a)

2

b)

3

c)

5

d)

4

57.

Find the slope that passes through (3,2) and (-4, -8)

a)

$\frac{10}{7}$

b)

$\frac{6}{11}$

c)

$\frac{7}{10}$

d)

$\frac{11}{6}$

58.

11 = 3z + 5

a)

2

b)

6

c)

1

d)

4

59.

-14 = 4x - 2

a)

-3

b)

3

c)

6

d)

1

60.

21 = 5 - r

a)

-16

b)

16

c)

24

d)

26

61.

Solve: 4k + 39 = 7k + 6

a)

k = 11

b)

k = 3

c)

k = -3

d)

k = -11

62.

Solve: 14y + 5 = 8y - 1

a)

y = 1

b)

y = -1

c)

y = $\frac{2}{3}$

d)

y = - $\frac{2}{3}$

63.

Solve: 46 - 8p = 19 + p

a)

p = -3

b)

p = 7

c)

p = 3

d)

p = 9

64.

Solve the inequality
x - 2 < 5

a)

x < 3

b)

x ≥ 7

c)

x < 7

d)

x ≤ 7

65.

Solve the inequality
2 ≥ y - 12

a)

y ≤ 14

b)

y > 14

c)

y < 10

d)

y ≤ 10

Foundations of Algebra Final Exam Review

Total questions: 65

Worksheet time: 2hrs 6mins

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